Abstract
We exhibit a counterexample to a fiber theorem stated by F. Fumagalli in [Francesco Fumagalli, On the homotopy type of the Quillen complex of finite soluble groups, J. Algebra 283 (2) (2005) 639–654] and show how it affects the rest of Fumagalli's paper. As a consequence, whether the poset A p ( G ) is homotopy equivalent to a wedge of spheres for any finite solvable group G seems to remain an open question.
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